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113042304 = 273410903
BaseRepresentation
bin1101011110011…
…10001110000000
321212201010220000
412233032032000
5212414323204
615114520000
72541562254
oct657161600
9255633800
10113042304
115889a3a1
1231a36000
131a55c04b
1411028264
159dce039
hex6bce380

113042304 has 80 divisors (see below), whose sum is σ = 336442920. Its totient is φ = 37677312.

The previous prime is 113042297. The next prime is 113042311. The reversal of 113042304 is 403240311.

It is an interprime number because it is at equal distance from previous prime (113042297) and next prime (113042311).

It is a super-3 number, since 3×1130423043 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4917 + ... + 15819.

Almost surely, 2113042304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168221460).

113042304 is an abundant number, since it is smaller than the sum of its proper divisors (223400616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113042304 is an equidigital number, since it uses as much as digits as its factorization.

113042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113042304 is about 10632.1354393179. The cubic root of 113042304 is about 483.5191362802.

Adding to 113042304 its reverse (403240311), we get a palindrome (516282615).

It can be divided in two parts, 1130 and 42304, that added together give a palindrome (43434).

The spelling of 113042304 in words is "one hundred thirteen million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 10903 21806 32709 43612 65418 87224 98127 130836 174448 196254 261672 294381 348896 392508 523344 588762 697792 785016 883143 1046688 1177524 1395584 1570032 1766286 2093376 2355048 3140064 3532572 4186752 4710096 6280128 7065144 9420192 12560256 14130288 18840384 28260576 37680768 56521152 113042304